Journal of East China Normal University(Natural Science) ›› 2021, Vol. 2021 ›› Issue (1): 67-81.doi: 10.3969/j.issn.1000-5641.202022004

• Physics and Electronics • Previous Articles     Next Articles

Spatial flatness and large-scale Lorentz violation

Jing LI1(), Xun XUE1,2,*()   

  1. 1. School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
    2. Center for Theoretical Physics, Xinjiang University, Urumqi 830046, China
  • Received:2020-03-09 Online:2021-01-25 Published:2021-01-28
  • Contact: Xun XUE;


There is an inconsistency between the Hubble parameter obtained from local measurements and model-based parameters obtained from cosmic microwave background (CMB) measurements. This inconsistency motivated us to consider new cosmological models based on $\Lambda {\rm{CDM}}$ (Lambda Cold Dark Matter Model), such as a large-scale Lorentz violation model with non-vanishing spatial curvature. The degeneracy among the spatial curvature, cosmological constant, and cosmological contortion distribution makes the model viable for interpretation of the observation data. By comparing the luminosity distance modulus and redshift with the model prediction and calculating the change in matter density as well as the cosmological constant over time, we limit the spatial curvature density to a certain range. Accordingly, we discuss the performance of the large-scale Lorentz violation model with non-vanishing spatial curvature under these constraints.

Key words: Lorentz violation, spatial curvature, Hubble constant

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